Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 697 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the average of all the whole numbers from 15 to 29? (a) 14 (b) 22 (c) 23 (d) 7
2. 2.What is 5% of 660? (a) 330 (b) 627 (c) 66 (d) 33
3. 3.6 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 14 days (c) 18 days (d) 19 days
4. 4.What is the smallest number you must add to 386 to make it divisible by 6? (a) 3 (b) 5 (c) 2 (d) 4
5. 5.₹363 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹264 (b) ₹297 (c) ₹33 (d) ₹99
6. 6.Two ribbons are 21 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 168 cm (c) 21 cm (d) 3 cm
7. 7.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 16 (b) 90 (c) 59 (d) 47
8. 8.What is the average of 52, 40, 45, 37, 54 and 60? (a) 48 (b) 47 (c) 49 (d) 50
9. 9.Today is Monday. What day of the week will it be after 100 days? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
10. 10.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
11. 11.Today is Tuesday. What day of the week will it be after 47 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
12. 12.Two ribbons are 14 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 14 cm (c) 112 cm (d) 1 cm
13. 13.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 28 cm (d) 30 cm
14. 14.Every pair follows the same rule: 4 : 23, 6 : 43, 7 : 56. What is 3 : ? (a) 17 (b) 22 (c) 16 (d) 4
15. 15.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 27 (b) 42 (c) 51 (d) 18
16. 16.If 14 August is a Sunday, what day of the week is 26 August? (a) Sunday (b) Thursday (c) Saturday (d) Friday
17. 17.If 8x + 23 = 135, what is x? (a) 13 (b) 112 (c) 15 (d) 14
18. 18.Every pair follows the same rule: 3 : 12, 8 : 32, 9 : 36. What is 5 : ? (a) 21 (b) 20 (c) 19 (d) 14
19. 19.Two ribbons are 21 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 1 cm (c) 21 cm (d) 7 cm
20. 20.If 7x − 9 = 19, what is x? (a) 3 (b) 28 (c) 5 (d) 4
21. 21.If 26 August is a Wednesday, what day of the week is 13 September? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
22. 22.Which fraction is greater: 3/8 or 2/3? (a) 3/8 (b) 2/3 (c) They are equal
23. 23.A teacher has 8 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 20 (c) 4 (d) 2
24. 24.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 210 (b) 315 (c) 105 (d) 36
25. 25.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹870 (b) ₹460 (c) ₹1380 (d) ₹461
26. 26.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 13 days (c) 22 days (d) 21 days
27. 27.If 5x + 23 = 53, what is x? (a) 30 (b) 6 (c) 7 (d) 5
28. 28.Which fraction is greater: 1/4 or 1/3? (a) 1/4 (b) They are equal (c) 1/3
29. 29.If 6 kites cost ₹42, how much do 10 kites cost? (a) ₹420 (b) ₹70 (c) ₹46 (d) ₹77
30. 30.What is 1/5 of 60? (a) 48 (b) 13 (c) 24 (d) 12
31. 31.Which of these numbers is divisible by 4? (a) 346 (b) 350 (c) 342 (d) 344
32. 32.If 9x − 9 = 27, what is x? (a) 5 (b) 2 (c) 4 (d) 36
33. 33.Which of these numbers is divisible by 4? (a) 871 (b) 873 (c) 879 (d) 872
34. 34.What is the remainder when 318 is divided by 7? (a) 5 (b) 2 (c) 4 (d) 3
35. 35.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 69%
36. 36.What is the simple interest on ₹6000 at 4% per year for 3 years? (a) ₹6720 (b) ₹960 (c) ₹240 (d) ₹720
37. 37.Today is Thursday. What day of the week will it be after 79 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
38. 38.₹9500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹10450 (b) ₹12350 (c) ₹13300 (d) ₹2850
39. 39.5/8 + 1/2 = ? (a) 3/5 (b) 5/4 (c) 9/8 (d) 1
40. 40.Which is the smallest: 0.6, 0.063, 0.68, 0.575? (a) 0.6 (b) 0.063 (c) 0.68 (d) 0.575

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